Vortex waves on a nuclear surface

Kartavenko, V. G.; Maruhn, J. A.; Greiner, Walter

doi:10.1088/0954-3899/22/2/003

Cited by 6 publications

(5 citation statements)

References 34 publications

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“…The motivation for initiating such a program was due to the fact that most of the interesting physical quantities can be expressed in terms of currents and densities. It is important for nuclear physics because the density and velocity distributions are usual variables to analyse the dynamics of heavy ion collisions (see the recent papers [14], [15] and the references therein).…”

Section: Discussionmentioning

confidence: 99%

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Nonlinear Waves of Nuclear Density

Kartavenko

Săndulescu

Greiner

1998

Int. J. Mod. Phys. E

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Nonlinear excitations of nuclear density are considered in the framework of semiclassical nonlinear nuclear hydrodynamics. Possible types of stationary nonlinear waves in nuclear media are analysed using Nonlinear Schrödinger equation of fifth order and classified using a simple mechanical picture. It is shown that a rich spectrum of nonlinear oscillations in one-dimensional nuclear medium exist.

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Section: Discussionmentioning

confidence: 99%

“…2 See discussion on a velocity concept in quantum hydrodynamics in a recent paper [14] current operators (4) one derives velocity-density and velocity-velocity commutative relations…”

Section: Nonlinear Schrödinger Equationmentioning

confidence: 99%

Nonlinear Waves of Nuclear Density

Kartavenko

Săndulescu

Greiner

1998

Int. J. Mod. Phys. E

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“…It was shown that 2D pure vortical motion of inviscid nuclear liquid can be reduced to 1D evolution of the contour bounding this drop. In the next paper [10] the extension to semi-3D geometry was done. The equations of motion describing localized vortex on a spherical nuclear surface -a bounded region of constant vorticity, surrounded by irrotational flux -were reduced to 1D nonlinear evolution of the boundary.…”

Section: Motivationmentioning

confidence: 99%

Nonlinear evolution of the axisymmetric nuclear surface

2002

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We consider an uniformly charged incompressible nuclear fluid bounded by a closed surface. It is shown that an evolution of an axisymmetric surface Γ(r, t) ≡ σ − Σ(z, t) = 0, r = (σ, φ, z) can be approximately reduced to a motion of a curve in the (σ, z)-plane. A nonlinear integro-diffrerential equation for the contour Σ(z, t) is derived. It is pointed on a direct correspondence between Σ(z, t) and a local curvature, that gives possibility to use methods of differential geometry to analyze an evolution of an axisymmetric nuclear surface. I. MOTIVATIONNonlinear dynamics of a nuclear surface is an object of special interest due to the following reasons. First, nuclear density falls considerably in the surface region, where the density fluctuations and clustering may be important. Second, different types of instability may be developed in the surface region and lead to fragmentation processes at low (fission, nucleon transfer) and high (multifragmentation, break-up etc.) energies. Finally, the liquid drop concept [1] for over a century are intensively used in macro-[2] and micro-physics [3]. Nonlinear dynamics of shapes in any complicated systems enevitably leads to mathematical problem of describing global geometric quantities such as surface and enclosed volume in different dimensions (polymers, cell membranes, 3D droplets).An application of a soliton concept to nonlinear nuclear hydrodynamics has given yet new possibilities in this field (See e.g. review [4] and [5][6][7][8] for the recent refs.). However any extension of nonlinear dynamics from 1+1 to 2+1 and 3+1 dimensions meets principal difficulties. The crucial point is to reduce the dimension of a problem. In paper [9] we considered the simplest two-dimensional nonlinear liquid objects. It was shown that 2D pure vortical motion of inviscid nuclear liquid can be reduced to 1D evolution of the contour bounding this drop. In the next paper [10] the extension to semi-3D geometry was done. The equations of motion describing localized vortex on a spherical nuclear surface -a bounded region of constant vorticity, surrounded by irrotational flux -were reduced to 1D nonlinear evolution of the boundary.In this short report we consider an uniformly charged incompressible nuclear 3D fluid bounded by a closed surface. It is shown that evolution of an axisymmetric surface Γ(r, t) ≡ σ − Σ(z, t) = 0, r = (σ, φ, z) can be approximately reduced to a motion of a curve in the (σ, z)-plane. II. FRAMEWORKThe evolution of one-body Wigner phase-space distribution function is analyzed instead of a full many-body wave function. Integrating the kinetic equationover the momentum space with different polynomial weighting functions of the p-variable one comes to an infinite chain of equations for local collective observables including the density, collective velocity, pressure and an infinite set of tensorial functions of the time and space coordinates, which are defined as moments of the distribution function in the momentum space: -the particle n(r, t) ≡ g dp f (r, p, t), and the mas...

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“…We suggest to use the methods of nonlinear dynamics. These methods gave yet the possibility to derive for nuclear physics unexpected collective modes, which can not be obtained by traditional methods of perturbation theory near some equilibrium state (see [33,34,35,36,37] for the recent refs.). The most importamt reason is that the fragmentation and clusterization is a very general phenomenon.…”

Section: And Refs Therein)mentioning

confidence: 99%

Ternary Configuration in the Framework of Inverse Mean-Field Method

Kartavenko

Săndulescu

Greiner

1999

Int. J. Mod. Phys. E

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Abstract. A static scission configuration in cold ternary fission has been considered in the framework of mean field approach. The inverse scattering method is applied to solve single-particle Schrödinger equation, instead of constrained selfconsistent Hartree-Fock equations. It is shown, that it is possible to simulate one-dimensional three-center system via inverse scattering method in the approximation of reflectless single-particle potentials. Ternary configuration in the framework of inverse mean-field method 2

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Vortex waves on a nuclear surface

Cited by 6 publications

References 34 publications

Nonlinear Waves of Nuclear Density

Nonlinear Waves of Nuclear Density

Nonlinear evolution of the axisymmetric nuclear surface

Ternary Configuration in the Framework of Inverse Mean-Field Method

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